You use a credit card to buy $150 worth of merchandise at a clothing store. The sales tax is 6%. The credit card company keeps 3% of the total
On solving the provided question, we can say that by bodmas, The total cost of the merchandise with the sales tax included is: $150 + 6% of $150 = $150 + $9 = $159
what is BODMAS ?The abbreviation BODMAS aids kids in recalling the hierarchy of mathematical operations (the correct order for solving math problems). The acronym BODMAS is made up of the following terms: B Bracket, O Degree (Power/Exponent or Root), D Division, M Multiplication, A Addition, and S Subtraction. BODMAS is also referred to as PEDMAS in some locales. This symbolizes exponents, division, multiplication, addition, and subtraction. It also represents parentheses. The BODMAS rule states that parentheses must be handled first, followed by powers or roots (i.e., of), divisions, multiplications, additions, and lastly subtractions. While he is known as BODMAS in India and the UK, PEMDAS is primarily utilized in the US. However, they are identical to one another. The parentheses, order, and order of the operations of addition, subtraction, multiplication, and division are the same for the two rules.
The total cost of the merchandise with the sales tax included is:
$150 + 6% of $150 = $150 + $9 = $159
The credit card company keeps 3% of the total cost, which is:
3% of $159 = $4.77
Therefore, the total amount charged to the credit card is:
$159 + $4.77 = $163.77
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write 10 rational numbers between -1/3 and 1/3
Step-by-step explanation:
-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4
Ashley has a coin collection. She keeps 9 of the coins in her box, which is 4% of the collection. How many total coins are in her collection?
Answer:
225 coins
Step-by-step explanation:
9----------4%
x------------100%
Cross multiplication
4x = 900
x=225
An international company has 12,700 employees in one country. If this represents 23.6% of the company's employees, how many employees does it have in total?
Answer: 33.6% of X = 26800
X = 26800 / 33.6%
= 26800 / 0.336
= 33.6%
HOPE THIS HELPS HAVE A AWESOME NIGHT/DAY✨
Step-by-step explanation:
Answer:
2997.2
Step-by-step explanation:
All of the following ratios are equivalent except _____. ⇅
Please help, picture shows problem
The solutions to the trigonometric equation:
cos(x)*(cos(x) - 1) = 0
Are the ones in option B;
x = ± n*π , π/2 ± 2πn, 3π/2 ± 2πn
Where n is a natural number.
How to solve the equation?Here we have the trigonometric equation:
cos(x)*(cos(x) - 1) = 0
Remember that a product A*B = 0 either if A or B (or both) are equal to zero, so the solutions of the given equation are the values of x such that:
cos(x)= 0
cos(x) - 1 = 0
The solution of the first one is trivial, it is just π/2 and 3π/2
And for the second one:
cos(x) - 1 = 0
cos(x) =1
The solutions are x = 0 and x = π
Now we can extend that tho the whole range by writting:
x = ± n*π for the second equation.
x = π/2 ± 2πn and 3π/2 ± 2πn for the first equation.
That is what we can see in option B.
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Transform the given function f(x) as described and write the resulting function as an equation.
compress horizontally by a factor of 3
translate left 1 unit
compress horizontally by a factor of 2
translate right 2 units
translate left 2 units
translate down 2 units
translate right 1 unit
translate up 3 units
expand vertically by a factor of 3
reflect across the x-axis
translate left 2 units
translate down 3 units
reflect across the x-axis
translate left 1 unit
compress vertically by a factor of 2
translate down 3 units
The given function, after applying the series of transformations, results in the following equation:
y = -3 * f(3(x + 1)) - 2 * f(2(x - 2)) - 2 - 3 * f(x + 1) + 3 - 3 * |f(x + 2)| - 1 * |f(x)| / 2 - 3
The series of transformations can be summarized as follows:
(1) Compress horizontally by a factor of 3 and translate left 1 unit: f(3(x + 1)).
(2) Compress horizontally by a factor of 2 and translate right 2 units: f(2(x - 2)).
(3) Translate left 2 units and translate down 2 units: f(x + 1) - 2.
(4) Translate right 1 unit and translate up 3 units: -3 * f(x + 2) + 3.
(5) Expand vertically by a factor of 3 and reflect across the x-axis: -3 * |f(x + 2)|.
(6) Translate left 2 units and translate down 3 units: -3 * |f(x + 2)| - 1.
(7) Reflect across the x-axis and translate left 1 unit: -1 * |f(x)| / 2.
(8) Compress vertically by a factor of 2 and translate down 3 units: -1 * |f(x)| / 2 - 3.
The resulting equation combines all these transformations to describe the final function.
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Find HI please will mark brainliest for first answer if correct
just trying hope that helps
Least to greatest- 3/8 5/16 , -2/4. , 1/2
Answer:
-2/4 then 5/16 then 3/8 then 1/2 plz mark brainiest :)
Answer:
-2/4 , -3/8 , 5/16 , 1/2
Step-by-step explanation:
Using the given inputs:
-3/8 5/16 -2/4 1/2
The least common denominator (LCD) is: 16.
Rewriting as equivalent fractions with the LCD:
-3/8 5/16 -2/4 1/2
-6/16 5/16 -8/16 8/16
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
-2/4 -3/8 5/16 1/2
-8/16 < -6/16 < 5/16 < 8/16
Therefore, the sorted inputs in order from least to greatest is:
-2/4 < -3/8 < 5/16 < 1/2
1+2+3+...98+99+100 what's the total and how many pairs will there be?
Answer:
5050 and 100 pairs
Step-by-step explanation:
express the product of 4.0x10^-2m and 8.1
The product of 4.0x10^-2m and 8.1 is 3.24x10^-1m.
To express the product of 4.0x10^-2 m and 8.1, we can perform the multiplication and simplify the result. Let's go through the steps:
Step 1: Multiply the numbers: 4.0x10^-2 m * 8.1
To multiply these numbers, we multiply the decimal parts and add the exponents of 10. The calculation is as follows:
4.0 * 8.1 = 32.4
Next, we add the exponents:
10^-2 * 10^0 = 10^-2+0 = 10^-2
Step 2: Simplify the result
The result of the multiplication is 32.4 times 10 raised to the power of -2. We can write this as:
32.4 * 10^-2
When we have a number expressed in scientific notation, such as 4.0x10^-2 m, it means that we have a coefficient (4.0) multiplied by 10 raised to a certain power (-2 in this case). This notation is commonly used to represent very large or very small numbers in a concise and convenient manner.
In the context of measurements, the coefficient (4.0) represents the numerical value, and the exponent (-2) indicates the order of magnitude or scale. The base of 10 implies that the number is expressed in powers of 10.
Multiplying this value by 8.1 results in a product of 32.4. The exponent remains the same since multiplying by 10 does not change the scale of the number. Therefore, the final result is 32.4 times 10 raised to the power of -2.
Interpreting this in practical terms, the product of 4.0x10^-2 m and 8.1 is equivalent to 32.4 times 10 raised to the power of -2 meters. This can be understood as a small distance or length measurement due to the negative exponent. It signifies that the number is scaled down by a factor of 100 (10 raised to the power of 2), making it 100 times smaller than a meter.
Thus, the expression 32.4 * 10^-2 m represents the product of 4.0x10^-2 m and 8.1, where the value is 32.4 and the unit is meters, adjusted according to the appropriate scale denoted by the exponent.
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What are the measurements rounded to the nearest hundredth.
Answer:
Step-by-step explanation:
Use: nCk = n!/k! (n-k)!
At a local cafeteria there are ten vegetable selections available. How many three-vegetable plates may be made
Answer:
120
Step-by-step explanation:
The formula \(nCk=\frac{n!}{k!(n-k)!}\) describes how many ways \(k\) items can be chosen given \(n\) total items. In this scenario, \(n=10\), and \(k=3\), thus:
\(\frac{10!}{3!(10-3)!}=120\)
This means that you can make 120 three-vegetable plates
order √2, 2π, 0.8
Please help ASAP
Answer:
0.8,√2,2π
Step-by-step explanation:
Answer:
the second one, then the first, then the last one
Step-by-step explanation:
the first one is = to 1
the second one is = to 6.3
the third one is = to .8
A man buys a TV. The total cost is $2,500, and the sales commission is 8%. How much should the salesperson get as commission for this sale?
Also please show me how you got the answer cause i have to show my work!!!
Answer:
$200
Step-by-step explanation:
First Change the percent to a decimal
In this case the percent was %8, change it into a decimal; 8%=.08
Next multiply 2,500 x .08 which gives you 200
The answer is $200! Hope this helps!.
Please help me answer this
Answer:
Left graph - not a function
Middle graph - function
Right graph - function
Step-by-step explanation:
An easy way to see if a graph represents a function is to do what's called the vertical line test. If you can draw a vertical line and move it across any place on the graph without intersecting more than one point, then it is a function. I recommend looking at some videos online to explain it better visually.
find the value of given expression
\( \sqrt{22\times 22} \)
Answer:
hello!!
your answer is 22
Step-by-step explanation:
Consider the following vector field.
F(x, y, z) =
9ex sin(y), 2ey sin(z), 8ez
sin(x)
(a)
Find the curl of the vector field.
curl(F) =
(b)
Find the divergence of the vector field.
div(F) =
The curl of the vector field
curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
The divergence of the vector field
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.
(a) Curl of F:
The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:
curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k
In this case, we have:
P(x, y, z) = 9ex sin(y)
Q(x, y, z) = 2ey sin(z)
R(x, y, z) = 8ez sin(x)
Taking the partial derivatives, we get:
∂P/∂y = 9ex cos(y)
∂Q/∂z = 2ey cos(z)
∂R/∂x = 8ez cos(x)
∂R/∂y = 0 (no y-dependence in R)
∂Q/∂x = 0 (no x-dependence in Q)
∂P/∂z = 0 (no z-dependence in P)
Substituting these values into the curl formula, we have:
curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k
= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
Therefore, the curl of the vector field F is given by:
curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
(b) Divergence of F:
The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:
div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z
In this case, we have:
∂P/∂x = 9e^x sin(y)
∂Q/∂y = 2e^y sin(z)
∂R/∂z = 8e^z
Substituting these values into the divergence formula, we have:
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
Therefore, the divergence of the vector field F is given by:
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
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Please help me on this question!! If you get the question correct you will get brainleist!!! Tyyy ^^
Answer:
Area
Step-by-step explanation:
2 3/6 + 2/36=?
add show work explain do it fast
Answer:
23÷6+2÷36=3.9(4) I think that is the answer
Ram Purchased a flat at ₹1. 1 lakh and Prem purchased aplot of land worth ₹ 1. 1 lakh. The respective annual rates at which the prices of the flat and the plot increases were 10% and 5%. After two years they exchanged their belongings and one paid the other the difference. Then who paid to whom by how much?
Prem purchased a plot for ₹1.1 lakh and its price increased at an annual rate of 5%.Ram's flat had a higher value than Prem's plot, Prem paid Ram the difference, which was ₹0.118 lakh or ₹11,800. Ram's flat is more valuable than Prem's plot of land
After two years, the value of Ram's flat would be ₹1.1 lakh + (10% of ₹1.1 lakh × 2 years) = ₹1.43 lakh.
Similarly, the value of Prem's plot of land would be ₹1.1 lakh + (5% of ₹1.1 lakh × 2 years) = ₹1.21 lakh.
Therefore, the difference in value between Ram's flat and Prem's plot of land is ₹1.43 lakh - ₹1.21 lakh = ₹22,000.
Ram would have to pay ₹22,000 to Prem as Ram's flat is more valuable than Prem's plot of land.
Ram purchased a flat for ₹1.1 lakh and its price increased at an annual rate of 10%. After two years, the flat's value would be:
1.1 lakh * (1 + 0.1)^2 = 1.1 lakh * 1.21 = ₹1.331 lakh
Prem purchased a plot for ₹1.1 lakh and its price increased at an annual rate of 5%. After two years, the plot's value would be:
1.1 lakh * (1 + 0.05)^2 = 1.1 lakh * 1.1025 = ₹1.213 lakh
After exchanging their properties, the difference in value is:
₹1.331 lakh (flat) - ₹1.213 lakh (plot) = ₹0.118 lakh
Since Ram's flat had a higher value than Prem's plot, Prem paid Ram the difference, which was ₹0.118 lakh or ₹11,800.
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(stagnation pressure) a hang glider soars through standard sea-level air with an airspeed of 11.3 m/s. what is the gage pressure at a stagnation point on the structure?
The gage pressure at a stagnation point on the structure of a hang glider soaring through standard sea-level air with an airspeed of 11.3 m/s can be calculated using the Bernoulli's equation.
First, we need to find the dynamic pressure, which is given by the formula:
Dynamic pressure = 0.5 * density * airspeed^2
At standard sea-level conditions, the density of air is 1.225 kg/m^3. Plugging in the given values, we get:
Dynamic pressure = 0.5 * 1.225 * 11.3^2 = 79.18 Pa
Next, we need to find the gage pressure at the stagnation point, which is given by the formula:
Gage pressure = dynamic pressure - atmospheric pressure
At standard sea-level conditions, the atmospheric pressure is 101325 Pa. Plugging in the values, we get:
Gage pressure = 79.18 - 101325 = -101245.82 Pa
Therefore, the gage pressure at a stagnation point on the structure of a hang glider soaring through standard sea-level air with an airspeed of 11.3 m/s is -101245.82 Pa.
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4⋅(2+5)
Line 1
4
⋅
2
+
4
⋅
5
4⋅2+4⋅5
Line 2
The expression was rewritten using the
.
4
⋅
(
2
+
5
)
4⋅(2+5) equals
4
⋅
4⋅
which equals
.
4
⋅
2
+
4
⋅
5
4⋅2+4⋅5 equals
+
+
which equals
.
Answer: 4⋅(2+5) = 4 * (2+5) = 4 * 7 = 28
Step-by-step explanation:
Line 1 shows the original expression and Line 2 shows the expression is simplified by using the distributive property.
4⋅2 + 4⋅5 = 8+20 = 28
So the final result is 28.
Write the standard form of the equation of a line passing through the points (0,-2) and (1, -5).
A. 3x + y + 2 = 0
B. 4x - y - 2 = 0
C. 3x + y - 2 = 0
D. 4x - y + 2 = 0
Answer:
3x + y + 2 = 0
Step-by-step explanation:
Find the missing side or angle.
Round to the nearest tenth.
A=18°
B= 28°
b=100
a=?
Answer:
34 i think
Step-by-step explanation:
if the sum is 180 then
18+28+100+34
sorry if its wrong
Which equation can pair with x 2y = 5 to create an inconsistent system?
The equation that can be paired with x + 2y = 5 to create an inconsistent system is given by:
2x + 4y = 3.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
An inconsistent system is a system that has no solutions, and it happens when the coefficients of x and y are multiples, and the independent terms are not.
Hence:
x + 2y = 5.
2x + 4y = 3.
Is inconsistent, as the variables are each multiplied by 2, but the independent term is not.
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Answer:
A
Step-by-step explanation:
Edge.
Problem PageQuestion Customers of a phone company can choose between two service plans for long distance calls. The first plan has a monthly fee and charges an additional for each minute of calls. The second plan has an monthly fee and charges an additional for each minute of calls. For how many minutes of calls will the costs of the two plans be equal
Answer:
The answer is below
Step-by-step explanation:
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal
Answer: Let the number of minutes of calls that will cost the two plans to be equal be x. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls, therefore the total cost in x minutes = $19 + $0.13x
The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls, therefore the total cost in x minutes = $24 + $0.08x
For the two plans to be equal, the cost of the first plan should be equal to the cost of the second plan. i.e.:
$19 + $0.13x = $24 + $0.08x
Solving for x:
\($19 + $0.13x = $24 + $0.08x\\0.13-0.08=24-19\\0.05x=5\\x=5/0.05=100\\x=100\ minutes\)
It would take 100 minutes of calls for the costs of the two plans to be equal
a latin square design is used to determine the order of treatments that will be used in a within-subjects experiment comparing five treatments labeled a, b, c, d, and e. how many groups of participants will receive treatment e as the first treatment?
There is only one group of participants will receive treatment e as the first treatment.
What is lain square design?
A block with a Latin square design has v Latin characters arranged in a
v x v array (a table with v rows and v columns). Latin square designs are
frequently employed in studies in which individuals are assigned to treatments over a predetermined time period, where it is assumed that time has a significant impact on the experimental response.
The Latin Square Design's name comes from the fact that the treatments can be represented by a square written in Latin letters. Latin letters in the Latin square shape represent the treatment factor levels. The number of treatment levels must match the number of rows and columns.
Hence, There is only one group of participants will receive treatment e as the first treatment.
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series #3 of vines!:))
(man #1) i came to bring you frankincense.
(man #2) thank you.
(man #3) i came to bring you mur...
(man #2) thank you.
(man #3) murder!
(man #2) *gasps* judith!
Apply the indicated operation to the matrix.
will mark brainliest, anyone pls?
Answer:
your answer is D.
-3 -2 -1
0 3 6
Step-by-step explanation:
the number on the left of the indicated operation is the original set
the number '3' next to R shows that you need to multiply certain numbers by 3
the subscript on the R's shows which row the multiplication needs to be done on...
in this case the row is 2, and you need to multiply it by 3
so the first row will stay the same: -3 -2 -1
but the second row will change to: 0 3 6